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Finding the Third Proportional to 20,322 and 41,940

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Solution

The third proportional to 20,322 and 41,940 is: 86,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322 : 41,940 = 41,940 : x
  2. Step 2: Convert to fraction form
    20,322/41,940 = 41,940/x
  3. Step 3: Cross multiply
    20,322x = 41,940 × 41,940
  4. Step 4: Simplify right side
    20,322x = 1,758,963,600
  5. Step 5: Solve for x
    x = 1,758,963,600/20,322
  6. Step 6: Final answer
    x = 86,554.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.